Publications

Pre-prints

Fernandes, M. E., & Piedade, C. A.  (2024) Regular polytopes of rank n/2 for transitive groups of degree n, pre-print, 23 pages. arXiv:2407.16003

Piedade, C. A. &  Tranchida, P.  (2024) Constructing new geometries: a generalized approach to halving for hypertopes, pre-print, 25 pages. arXiv:2405.19050

Fernandes, M. E., & Piedade, C. A.  (2023) The degrees of the orientation-preserving automorphism groups of toroidal maps and hypermaps, pre-print, 11 pages. arXiv:2308.16841

Post-Doc

Fernandes, M. E., Piedade, C. A. , & Reade, O. (2023) String C-group representations of transitive groups: a case study with degree 11. The Art of Discrete and Applied Mathematics.

Piedade, C. A. (2023) Infinite families of hypertopes from centrally symmetric polytopes. Electronic Journal of Combinatorics, 40(2), P2.20.

During PhD

Fernandes, M. E., & Piedade, C. A. (2022) The degrees of regular polytopes [4,4,4]. SIAM Journal on Discrete Mathematics, 36(2), 1143-1155.

Fernandes, M. E., Leemans, D., Piedade, C. A., & Weiss, A. I. (2021) Two families of locally toroidal regular 4-hypertopes arising from toroids. In Contemporary Mathematics, volume 764, pages 89–100. American Mathematical Society. 

Fernandes, M. E., & Piedade, C. A. (2021) The degrees of toroidal regular proper hypermaps. The Art of Discrete and Applied Mathematics, 4(3), P3-13.

Fernandes, M. E., & Piedade, C. A. (2020) Faithful permutation representations of toroidal regular maps. Journal of Algebraic Combinatorics, 52(3), 317-337.

Fernandes, M. E., & Piedade, C. A. (2020)
Correction to “Faithful permutation representations of toroidal regular maps”. Journal of Algebraic Combinatorics, 1-6. 

Prior PhD

Piedade, C. A., Silva, M. S., Cordeiro, C., & Ferreira, A. E. (2017) Virus Disassembly Pathways Predicted from Geometry and Configuration Energy. In International Joint Conference on Biomedical Engineering Systems and Technologies (pp. 289-301). Springer, Cham. 8.

Piedade C.A., Ferreira A. & Cordeiro C. (2017) How to Disassemble a Virus Capsid - A Computational Approach. In Proceedings of the 10th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 3: BIOINFORMATICS, (BIOSTEC 2017) ISBN 978-989-758-214-1, pages 217-222.   

Thesis

Piedade, C.A. Faithful permutation representations of C-groups. PhD thesis, Universidade de Aveiro (2022)

Piedade, C.A. How to Disassemble a Virus Capsid - A Computational Approach. Master thesis, Faculdade de Ciências da Universidade de Lisboa (2017)